Bounds on Perturbations of Generalized Singular Values and of Associated Subspaces. - Ren-Cang Li (SIAM J. Matrix Anal. Appl., 1993)

New Perturbation Bounds for the Unitary Polar Factor. - Ren-Cang Li (SIAM J. Matrix Anal. Appl., 1995)

On perturbations of matrix pencils with real spectra. II. - Rajendra Bhatia; Ren-Cang Li (Math. Comput., 1996)

Composition constants for raising the orders of unconventional schemes for ordinary differential equations. - William Kahan; Ren-Cang Li (Math. Comput., 1997)

Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations. - Ren-Cang Li (SIAM J. Matrix Anal. Appl., 1998)

Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations. - Ren-Cang Li (SIAM J. Matrix Anal. Appl., 1998)

A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory. - Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2000)

Theorems on Efficient Argument Reductions. - Ren-Cang Li; Sylvie Boldo; Marc Daumas (IEEE Symposium on Computer Arithmetic, 2003)

On perturbations of matrix pencils with real spectra, a revisit. - Ren-Cang Li (Math. Comput., 2003)

A Krylov Subspace Method for Quadratic Matrix Polynomials with Application to Constrained Least Squares Problems. - Ren-Cang Li; Qiang Ye 003 (SIAM J. Matrix Anal. Appl., 2003)

Substructuring, Dimension Reduction and Applications: An Introduction. - Zhaojun Bai; Ren-Cang Li (PARA, 2004)

Structure-Preserving Model Reduction. - Ren-Cang Li; Zhaojun Bai (PARA, 2004)

Near Optimality of Chebyshev Interpolation for Elementary Function Computations. - Ren-Cang Li (IEEE Trans. Computers, 2004)

The abc conjecture and correctly rounded reciprocal square roots. - Ernie Croot; Ren-Cang Li; Hui June Zhu (Theor. Comput. Sci., 2004)

Relative Perturbation Bounds for Positive Polar Factors of Graded Matrices. - Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2005)

Lower bounds for the condition number of a real confluent Vandermonde matrix. - Ren-Cang Li (Math. Comput., 2006)

Asymptotically Optimal Lower Bounds for the Condition Number of a Real Vandermonde Matrix. - Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2006)

Backward Error of Polynomial Eigenproblems Solved by Linearization. - Nicholas J. Higham; Ren-Cang Li; Françoise Tisseur (SIAM J. Matrix Anal. Appl., 2007)

On Meinardus' examples for the conjugate gradient method. - Ren-Cang Li (Math. Comput., 2008)

On the ADI method for Sylvester equations. - Peter Benner; Ren-Cang Li; Ninoslav Truhar (J. Comput. Appl. Math., 2009)

The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. - Ren-Cang Li; Wei Zhang 063 (Numerische Mathematik, 2009)

Formally Verified Argument Reduction with a Fused Multiply-Add. - Sylvie Boldo; Marc Daumas; Ren-Cang Li (IEEE Trans. Computers, 2009)

Sharpness in rates of convergence for the symmetric Lanczos method. - Ren-Cang Li (Math. Comput., 2010)

Structured backward error for palindromic polynomial eigenvalue problems. - Ren-Cang Li; Wen-Wei Lin; Chern-Shuh Wang (Numerische Mathematik, 2010)

Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts. - Ninoslav Truhar; Zoran Tomljanovic; Ren-Cang Li (Syst. Control. Lett., 2010)

Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems. - Ren-Cang Li; Yuji Nakatsukasa; Ninoslav Truhar; Shufang Xu (SIAM J. Matrix Anal. Appl., 2011)

A family of Anadromic numerical methods for matrix Riccati differential equations. - Ren-Cang Li; William Kahan (Math. Comput., 2012)

Accurate solutions of M-matrix Sylvester equations. - Jungong Xue; Shufang Xu; Ren-Cang Li (Numerische Mathematik, 2012)

Accurate solutions of M-matrix algebraic Riccati equations. - Jungong Xue; Shufang Xu; Ren-Cang Li (Numerische Mathematik, 2012)

Minimization Principles for the Linear Response Eigenvalue Problem I: Theory. - Zhaojun Bai; Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2012)

Alternating-directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations. - Wei-guo Wang; Wei-chao Wang; Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2012)

Convergence analysis of Lanczos-type methods for the linear response eigenvalue problem. - Zhongming Teng; Ren-Cang Li (J. Comput. Appl. Math., 2013)

Minimization Principles for the Linear Response Eigenvalue Problem II: Computation. - Zhaojun Bai; Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2013)

Erratum: Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems. - Ren-Cang Li; Yuji Nakatsukasa; Ninoslav Truhar; Shufang Xu (SIAM J. Matrix Anal. Appl., 2013)

GIP integrators for Matrix Riccati Differential Equations. - C. Kristopher Garrett; Ren-Cang Li (Appl. Math. Comput., 2014)

Rayleigh-Ritz Approximation For the Linear Response Eigenvalue Problem. - Lei-Hong Zhang; Jungong Xue; Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2014)

Active Manifold Learning via Gershgorin Circle Guided Sample Selection. - Hongteng Xu; Hongyuan Zha; Ren-Cang Li; Mark A. Davenport (AAAI, 2015)

A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem. - Linzhang Lu; Fei Yuan; Ren-Cang Li (Numer. Linear Algebra Appl., 2015)

Convergence of the block Lanczos method for eigenvalue clusters. - Ren-Cang Li; Lei-Hong Zhang (Numerische Mathematik, 2015)

A Krylov Subspace Method for Large-Scale Second-Order Cone Linear Complementarity Problem. - Lei-Hong Zhang; Wei Hong Yang; Chungen Shen; Ren-Cang Li (SIAM J. Sci. Comput., 2015)

A block Chebyshev-Davidson method for linear response eigenvalue problems. - Zhongming Teng; Yunkai Zhou; Ren-Cang Li (Adv. Comput. Math., 2016)

Self-Corrective Iterations (SCI) for generalized diagonally dominant matrices. - Jinrui Guan; Linzhang Lu; Ren-Cang Li; Rongxia Shao (J. Comput. Appl. Math., 2016)

A new two-phase structure-preserving doubling algorithm for critically singular M-matrix algebraic Riccati equations. - Tsung-Ming Huang; Wei-Qiang Huang; Ren-Cang Li; Wen-Wei Lin (Numer. Linear Algebra Appl., 2016)

A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems. - Linzhang Lu; Teng Wang; Yueh-Cheng Kuo; Ren-Cang Li; Wen-Wei Lin (SIAM J. Sci. Comput., 2016)

A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems. - C. Kristopher Garrett; Zhaojun Bai; Ren-Cang Li (ACM Trans. Math. Softw., 2016)

Highly accurate doubling algorithms for M-matrix algebraic Riccati equations. - Jungong Xue; Ren-Cang Li (Numerische Mathematik, 2017)

On the Generalized Lanczos Trust-Region Method. - Lei-Hong Zhang; Chungen Shen; Ren-Cang Li (SIAM J. Optim., 2017)

Sparse Sampling and Fully-3D Fast Total Variation Based Imaging Reconstruction for Chemical Shift Imaging in Magnetic Resonance Spectroscopy. - Zigen Song; Melinda Baxter; Mingwu Jin; Jian-Xiong Wang; Ren-Cang Li; Talon Johnson; Jianzhong Su (BI, 2018)

On an Eigenvector-Dependent Nonlinear Eigenvalue Problem. - Yunfeng Cai; Lei-Hong Zhang; Zhaojun Bai; Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2018)

Probabilistic Structure Learning for EEG/MEG Source Imaging with Hierarchical Graph Prior. - Feng Liu 011; Li Wang 033; Yifei Lou; Ren-Cang Li; Patrick L. Purdon (CoRR, 2019)

Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms. - Yunshen Zhou; Zhaojun Bai; Ren-Cang Li (CoRR, 2019)

An Efficient Numerical Method for the Symmetric Positive Definite Second-Order Cone Linear Complementarity Problem. - Xiang Wang; Xing Li; Lei-Hong Zhang; Ren-Cang Li (J. Sci. Comput., 2019)

Perturbation theory for Hermitian quadratic eigenvalue problem - damped and simultaneously diagonalizable systems. - Ninoslav Truhar; Zoran Tomljanovic; Ren-Cang Li (Appl. Math. Comput., 2020)

Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions. - Li Wang 033; Ren-Cang Li; Wen-Wei Lin (CoRR, 2020)

Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems. - Zhaojun Bai; Ren-Cang Li; Ding Lu (CoRR, 2020)

Uncorrelated Semi-paired Subspace Learning. - Li Wang 033; Lei-Hong Zhang; Chungen Shen; Ren-Cang Li (CoRR, 2020)

Accurate Numerical Solution for Shifted M-Matrix Algebraic Riccati Equations. - Changli Liu; Jungong Xue; Ren-Cang Li (J. Sci. Comput., 2020)

Orthogonal canonical correlation analysis and applications. - Li Wang 033; Lei-Hong Zhang; Zhaojun Bai; Ren-Cang Li (Optim. Methods Softw., 2020)

First-Order Perturbation Theory for Eigenvalues and Eigenvectors. - Anne Greenbaum; Ren-Cang Li; Michael L. Overton (SIAM Rev., 2020)

Learning Low-Dimensional Latent Graph Structures: A Density Estimation Approach. - Li Wang 033; Ren-Cang Li (IEEE Trans. Neural Networks Learn. Syst., 2020)

On Generalizing Trace Minimization. - Xin Liang 004; Li Wang 033; Lei-Hong Zhang; Ren-Cang Li (CoRR, 2021)

Accurate numerical solution for structured M-matrix algebraic Riccati equations. - Changli Liu; Wei-Guo Wang; Jungong Xue; Ren-Cang Li (J. Comput. Appl. Math., 2021)

On an eigenvector-dependent nonlinear eigenvalue problem from the perspective of relative perturbation theory. - Ninoslav Truhar; Ren-Cang Li (J. Comput. Appl. Math., 2021)

Probabilistic Structure Learning for EEG/MEG Source Imaging With Hierarchical Graph Priors. - Feng Liu 011; Li Wang 033; Yifei Lou; Ren-Cang Li; Patrick L. Purdon (IEEE Trans. Medical Imaging, 2021)

A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction. - Xijun Ma; Chungen Shen; Li Wang 033; Lei-Hong Zhang; Ren-Cang Li (Adv. Comput. Math., 2022)

Convergence of SCF for Locally Unitarily Invariantizable NEPv. - Ding Lu; Ren-Cang Li (CoRR, 2022)

Orthogonal multi-view analysis by successive approximations via eigenvectors. - Li Wang 033; Lei-Hong Zhang; Chungen Shen; Ren-Cang Li (Neurocomputing, 2022)

Maximizing sum of coupled traces with applications. - Li Wang 033; Lei-Hong Zhang; Ren-Cang Li (Numerische Mathematik, 2022)

A Self-Consistent-Field Iteration for Orthogonal Canonical Correlation Analysis. - Lei-Hong Zhang; Li Wang 033; Zhaojun Bai; Ren-Cang Li (IEEE Trans. Pattern Anal. Mach. Intell., 2022)

Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems. - Zhaojun Bai; Ren-Cang Li; Ding Lu (SIAM J. Matrix Anal. Appl., 2022)

A Scalable Algorithm for Large-Scale Unsupervised Multi-View Partial Least Squares. - Li Wang 033; Ren-Cang Li (IEEE Trans. Big Data, 2022)

On Generalizing Trace Minimization Principles, II. - Xin Liang; Ren-Cang Li (CoRR, 2023)

Variations of Orthonormal Basis Matrices of Subspaces. - Zhongming Teng; Ren-Cang Li (CoRR, 2023)

On Novel Fixed-Point-Type Iterations with Structure-Preserving Doubling Algorithms for Stochastic Continuous-time Algebraic Riccati equations. - Tsung-Ming Huang; Yueh-Cheng Kuo; Ren-Cang Li; Wen-Wei Lin (CoRR, 2023)

Trace ratio optimization with an application to multi-view learning. - Li Wang 033; Lei-Hong Zhang; Ren-Cang Li (Math. Program., 2023)

Multiview Orthonormalized Partial Least Squares: Regularizations and Deep Extensions. - Li Wang 033; Ren-Cang Li; Wen-Wei Lin (IEEE Trans. Neural Networks Learn. Syst., 2023)

Existence and nonexistence of solutions for underdetermined generalized absolute value equations. - Cairong Chen; Xuehua Li; Ren-Cang Li (CoRR, 2024)

Quality of Approximate Balanced Truncation. - Lei-Hong Zhang; Ren-Cang Li (CoRR, 2024)

On Stewart's Perturbation Theorem for SVD. - Ren-Cang Li; Ninoslav Truhar; Lei-Hong Zhang (CoRR, 2024)

Flexible Modified LSMR Method for Least Squares Problems. - Mei Yang; Gül Karaduman; Ren-Cang Li (CoRR, 2024)

A Comparative Study of Deep Reinforcement Learning for Crop Production Management. - Joseph Balderas; Dong Chen 016; Yanbo Huang; Li Wang 033; Ren-Cang Li (CoRR, 2024)

Locally unitarily invariantizable NEPv and convergence analysis of SCF. - Ding Lu; Ren-Cang Li (Math. Comput., 2024)

Numerical Solutions for Stochastic Continuous-Time Algebraic Riccati Equations. - Tsung-Ming Huang; Yueh-Cheng Kuo; Ren-Cang Li; Wen-Wei Lin (SIAM J. Matrix Anal. Appl., 2025)

An NEPv Approach for Feature Selection via Orthogonal OCCA with the (2,1)-norm Regularization. - Li Wang 033; Lei-Hong Zhang; Ren-Cang Li (CoRR, 2025)

A Minimal Perturbation Approach For The Rectangular Multiparameter Eigenvalue Problem. - Shanheng Han; Lei-Hong Zhang; Ren-Cang Li (CoRR, 2025)

A Note on Eigenvalues of Perturbed Hermitian Matrices. - Chi-Kwong Li; Ren-Cang Li (CoRR, 2025)